Discrete Green's function diakoptics : a toy problem

B.P. Hon, de, J.M. Arnold

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

8 Citations (Scopus)
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Abstract

In Green’s function diakoptics, wavefield interactions between disjoint domains in space are described in terms of interacting multi-port subsystems In addition to integral-equation based Green’s function diakoptics for time-harmonic fields, a demonstrably stable discrete space-time Green’s function diakoptics scheme has been reported to be effective for proximate regions. For distant regions it is necessary to retain a long field history. Upon considering a diakoptics toy problem involving two disjoint domains consisting of a single point each, the resulting boundary operator may be expressed in terms of two distinct discrete Green’s functions only, describing the intra- and inter-domain unitsource field responses, respectively. There are various integral representations and asymptotic expansions for the discrete Z-domain Green’s functions, and it is even possible to construct representations for the discrete space-time Green’s functions consisting of nested finite sums, which turn out to be difficult to evaluate due to severe cancellations.
Original languageEnglish
Title of host publicationProceedings of the 2010 International Conference on Electromagnetics in Advanced Applications (ICEAA '10), September 20-24, 2010, Sydney, Australia
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages565-568
ISBN (Print)978-1-4244-7367-0
Publication statusPublished - 2010

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    Hon, de, B. P., & Arnold, J. M. (2010). Discrete Green's function diakoptics : a toy problem. In Proceedings of the 2010 International Conference on Electromagnetics in Advanced Applications (ICEAA '10), September 20-24, 2010, Sydney, Australia (pp. 565-568). Institute of Electrical and Electronics Engineers.